A Problem on Chain Rule Applications

From chapter 4: Short-cuts to Differentiation

Problem number 5, section 4.7.

Find the derivative of the following function: f(x)=ln(1-e^(-x))

Using the Maple Program to solve this problem, we put in the following command:

diff(ln(1-exp(-x)),x); and the program gives us the following correct response: The Maple Program also allows us to graph the function and its derivative. This first graph is of the function f(x)=ln(1-e^(-x)). And this is the graph of its derivative: f'(x)=e^(-x)/(1-e^(-x)).